<span> The first term in the binomial is "<span>x2</span>", the second term in "3<span>", and the power </span>n<span> is </span>6, so, counting from0<span> to </span>6, the Binomial Theorem gives me:(<span>x2 + 3)6 = 6C0 (x2)6(3)0 + 6C1(x2)5(3)1 + 6C2 (x2)4(3)2 + 6C3 (x2)3(3)3</span><span>+ 6C4 (x2)2(3)4 + 6C5 (x2)1(3)5 + 6C6 (x2)0(3)6</span></span><span>Then simplifying gives me<span><span>(1)(x12)(1) + (6)(x10)(3) + (15)(x8)(9) + (20)(x6)(27)</span><span><span>+ (15)(x4)(81) + (6)(x2)(243) + (1)(1)(729)</span><span>= </span><span>x12<span> + 18</span>x10<span> + 135</span>x8<span> + 540</span>x6<span> + 1215</span>x4<span> + 1458</span>x2<span> + 729</span></span><span><span>
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Answer:
what is the blank for
Step-by-step explanation:
sorry I mean bank
Given the sides of a triangular rug and an included angle between them, the area is calculated through the equation,
A = 0.5ab (cos C)
where a and b are the lengths of the side and C is the included angle.
A = 0.5(5 ft)(4 ft)(cos 79°)
A = 1.9 ft²
Thus, the area of the triangular rug is approximately 1.9 ft².
Answer:
The initial value is 900
It is experiencing exponential growth by 27%
Step-by-step explanation:
Exponential functions are in the form 
, where a is the initial value, b is the multiplier, and x is the input, such as how many years past a certain date.
Exponential growth is when the multiplier is above 1.00, or above 100%, because b is determined by 1 + r if you have exponential growth, or 1 - r if you have exponential decay. You will never use negatives with exponential decay.
